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Finding the Fourth Proportional to 517,750, 775,503.24 and 250,952.38

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Solution

The fourth proportional to 517,750, 775,503.24 and 250,952.38 is: 375,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,750 : 775,503.24 = 250,952.38 : x
  2. Step 2: Convert to fraction form
    517,750/775,503.24 = 250,952.38/x
  3. Step 3: Cross multiply
    517,750x = 775,503.24 × 250,952.38
  4. Step 4: Simplify right side
    517,750x = 194,614,383,775.71
  5. Step 5: Solve for x
    x = 194,614,383,775.71/517,750
  6. Step 6: Final answer
    x = 375,884.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.